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Numerical Solving Stiff Control Problems for Delay Differential Equations

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Recent Advances in Soft Computing (MENDEL 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 837))

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Abstract

In the paper we present a numerical method for solving stiff control problems for delay differential equations based on the method of steps and the differential transformation method (DTM). Approximation of the solution is given either in the form of truncated power series or in the closed solution form. An application on a two-dimensional stiff delay systems with single delay and multiple delays with a parameter is shown the high accuracy and efficiency of the proposed method.

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Acknowledgement

The author was supported by the Czech Science Foundation under the project 16-08549S and by the Grant FEKT-S-17-4225 of Faculty of Electrical Engineering and Communication, Brno University of Technology.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00, Brno, Czech Republic

    Zdeněk Šmarda

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  1. Zdeněk Šmarda
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Correspondence to Zdeněk Šmarda .

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Editors and Affiliations

  1. Department of Applied Computer Science, Institute of Automation and Computer Science, Faculty of Mechanical Engineering, Brno University of Technology, Brno, Czech Republic

    Radek Matoušek

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Šmarda, Z. (2019). Numerical Solving Stiff Control Problems for Delay Differential Equations. In: Matoušek, R. (eds) Recent Advances in Soft Computing . MENDEL 2017. Advances in Intelligent Systems and Computing, vol 837. Springer, Cham. https://doi.org/10.1007/978-3-319-97888-8_27

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